球的体积

GeoGebra 命令及参数

1. Sphere(A, r) → a
2. IntersectPath(b, a) → c
3. Intersect(yAxis, c, 1) → B
4. Intersect(xAxis, c, 1) → D
5. Intersect(yAxis, c, 2) → C
6. Intersect(xAxis, c, 2) → E
7. Line(C, B) → g
8. Line(E, D) → f
9. Rotate(c, 90°, f) → c'
10. Sequence(Rotate[c, ((i * 360) * ° / n), g], i, 1, n) → L_1
11. Point(L_1) → F
12. Intersect(zAxis, c', 2) → G_1
13. Intersect(zAxis, c') → I, I_1
14. Segment(I, E) → h
15. Segment(E, C) → i
16. Segment(C, I) → j
17. OrthogonalLine(C, h, space) → k
18. Intersect(k, h) → G
19. Segment(G, C) → l
20. Segment(I, E) → dx
21. Segment(C, G) → dy
22. CircleSector(J, A, H) → d
23. Pyramid(A, H, J, K) → e, faceAHJ, edgeJK, faceAHK, faceHJK, faceAJK, edgeAH, edgeHJ, edgeAJ, edgeAK, edgeHK
24. Sequence(CircleSector[((((2 * i) - 1) * dx / 2), dy, 0), (((i - 1) * dx), 0, 0), ((i * dx), 0, 0), xOyPlane], i, 1, (2 * n)) → L_2
25. Sequence(Pyramid[Polygon[(((i - 1) * dx), 0, 0), ((i * dx), 0, 0), ((((2 * i) - 1) * dx / 2), dy, 0)], r], i, 1, (2 * n)) → L_3